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Dynamics of an Arbitrary Order Model of Toxoplasmosis Ailment in Human and Cat Inhabitants

dc.authorscopusid 57192061417
dc.authorscopusid 6603328862
dc.authorscopusid 57183603800
dc.authorscopusid 35750924900
dc.authorscopusid 10938924300
dc.contributor.author Zafar, Z.U.A.
dc.contributor.author Tunç, C.
dc.contributor.author Ali, N.
dc.contributor.author Zaman, G.
dc.contributor.author Thounthong, P.
dc.date.accessioned 2025-05-10T17:03:23Z
dc.date.available 2025-05-10T17:03:23Z
dc.date.issued 2021
dc.department T.C. Van Yüzüncü Yıl Üniversitesi en_US
dc.department-temp Zafar Z.U.A., Department of Mathematics, Faculty of Sciences, University of Central Punjab, Lahore, Pakistan; Tunç C., Department of Mathematics, Faculty of Sciences, Van YuzuncuYil University, Tuşba, Van, Turkey; Ali N., Department of Mathematics, University of Malakand, Chakdara, Pakistan; Zaman G., Department of Mathematics, University of Malakand, Chakdara, Pakistan; Thounthong P., King Mongkuts University of Technology North Bangkok Renewable Energy Research Centre, Bangkok, Thailand en_US
dc.description.abstract In this article, a non-integer nonlinear mathematical model for toxoplasmosis disease in human and cat population is proposed and studied. The basic concepts of the model's dynamic are given. The study of qualitative dynamics is done by the basic threshold parameter (Formula presented.). Local and global stabilities are done and the system's disease free equilibrium point is an attractor when (Formula presented.). Besides of it, endemic equilibrium point is an attractor when (Formula presented.). The sensitivity analysis of (Formula presented.) shows which parameter has positive/negative impact on the model. Numerical simulation of the model for the parameters occurred in threshold parameter is also discussed. The techniques of Adams Bashforth Moulton will be considered to justify all the derived theoretical results which will help in understanding to study the effect of various parameters to both the transient and steady-state dynamics of the disease infection. © 2021 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group. en_US
dc.identifier.doi 10.1080/16583655.2021.1990603
dc.identifier.endpage 896 en_US
dc.identifier.issn 1658-3655
dc.identifier.issue 1 en_US
dc.identifier.scopus 2-s2.0-85124027790
dc.identifier.scopusquality Q1
dc.identifier.startpage 882 en_US
dc.identifier.uri https://doi.org/10.1080/16583655.2021.1990603
dc.identifier.uri https://hdl.handle.net/20.500.14720/5704
dc.identifier.volume 15 en_US
dc.identifier.wosquality Q2
dc.language.iso en en_US
dc.publisher Taylor and Francis Ltd. en_US
dc.relation.ispartof Journal of Taibah University for Science en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Adams Bashforth Moulton Method en_US
dc.subject Cats Population en_US
dc.subject Ecology en_US
dc.subject Fractional Derivatives en_US
dc.subject Local And Global Stability en_US
dc.subject Stability en_US
dc.subject Toxoplasmosis Disease en_US
dc.title Dynamics of an Arbitrary Order Model of Toxoplasmosis Ailment in Human and Cat Inhabitants en_US
dc.type Article en_US

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